2xy=3x

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Solution for 2xy=3x equation:


Simplifying
2xy = 3x

Solving
2xy = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-3x + 2xy = 3x + -3x

Combine like terms: 3x + -3x = 0
-3x + 2xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + 2y) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-3 + 2y)' equal to zero and attempt to solve: Simplifying -3 + 2y = 0 Solving -3 + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2y = 0 + 3 2y = 0 + 3 Combine like terms: 0 + 3 = 3 2y = 3 Add '-2y' to each side of the equation. 2y + -2y = 3 + -2y Combine like terms: 2y + -2y = 0 0 = 3 + -2y Simplifying 0 = 3 + -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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